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20020012200 = 23325211122229
BaseRepresentation
bin10010101001010010…
…010010010010101000
31220200020011222211100
4102221102102102220
5312000110342300
613110322201400
71306054203336
oct225122222250
956606158740
1020020012200
118543858531
123a687b3260
131b70893786
14d7cc14b56
157c28c0700
hex4a94924a8

20020012200 has 72 divisors (see below), whose sum is σ = 67233880350. Its totient is φ = 5338669440.

The previous prime is 20020012193. The next prime is 20020012247. The reversal of 20020012200 is 221002002.

It can be written as a sum of positive squares in 3 ways, for example, as 19616243364 + 403768836 = 140058^2 + 20094^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5559315 + ... + 5562914.

Almost surely, 220020012200 is an apocalyptic number.

20020012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020012200 is an abundant number, since it is smaller than the sum of its proper divisors (47213868150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20020012200 is a wasteful number, since it uses less digits than its factorization.

20020012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122251 (or 11122239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20020012200 its reverse (221002002), we get a palindrome (20241014202).

The spelling of 20020012200 in words is "twenty billion, twenty million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11122229 22244458 33366687 44488916 55611145 66733374 88977832 100100061 111222290 133466748 166833435 200200122 222444580 266933496 278055725 333666870 400400244 444889160 500500305 556111450 667333740 800800488 834167175 1001000610 1112222900 1334667480 1668334350 2002001220 2224445800 2502501525 3336668700 4004002440 5005003050 6673337400 10010006100 20020012200